Welcome to the forums,
Self quote:
We’ve always recommended that: “After upgrade, you should run a full backup immediately as changes in this release invalidate all old backups.” It’s still good advice to have a fresh full, but there’s always the infrequent need to get data from an older minor version backup without throwing up a temporary machine. Well, with 5.0.x we aimed to make restores
compatible across patch releases (i.e. an older 5.0.x backup, not a prior 4.5.x backup – major version restore is
this RFE). There was a bug about zmrestore not handling database schema changes, but that’s
fixed in 5.0.5 and later – so backwards compatibility for restore is now theoretically possible. And we’re also looking to put icing on the cake by adding a
conversion tool to upgrade backups themselves to allow restore on later ZCS versions.
Recent Admin Backup Tidbits – Part 1 » Zimbra :: Blog
Certainly can 'try it' but don't be super disappointed if it doesn't work, as
bug 15750 is still open afterall. (ie: Might have to put 5.0.13 back on the dev setup if you need to get at that particular backup in the test area.)